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Probability problem

A) What is the probability of getting the following sequence with a fair die (as in dice):

B) What is the probability of getting the same sequence with a die that is biased in the following way:

p(1)=p(2)=p(3)=p(4)=15%; p(5)=20%; p(6)=20%

C) For the sequence TTGSSGCG,where S=G or C,calculate the probability of occurrence given

p(G)=p(C)=30% and p(A)=p(T)=20%.

D) In a 1 megabase (1 million bases) stretch of DNA,how often do you expect to observe this TTGSSGCG randomly? (use frequencies as listed above) Just look at one strand of DNA.

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